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The most difficult thing to ascertain is what will become of the bench rotation once Rose returns.
While some speculate that Rose might start by coming off the bench, I don't think that's probable. It's far more likely he'll start and play limited minutes. Thibodeau is very much into consistency in rotations. He'd rather see Rose playing with the starters because that's what he'll end up doing.
The frontcourt rotation probably won't change much, although it's possible there will be some more minutes with Deng playing the power forward and Butler playing the small forward. It's unlikely that will be meaningful minutes though.
Provided Richard Hamilton doesn't get traded, he'll still start.
More of a concern is who gets squeezed out of the rotation. Kirk Hinrich is ahead of Nate Robinson on the depth chart so he'll get the backup point guard minutes.
That leaves Jimmy Butler, Marco Belinelli and Nate Robinson. Of the three, Belinelli should see the most minutes as he's the one with the best three-point shot, though Robinson isn't far behind.
However Tom Thibodeau likes length on defense and he'd be giving length on two positions if he were to put Robinson and Rose in the backcourt together.
Therefore the most likely scenario is that Butler, who has been a solid defensive replacement spelling Luol Deng, should get more minutes at small forward and Belinelli will get the predominate minutes at the shooting guard.
However, when the offense grows stagnant, expect Robinson to come in and bring in energy and scoring off the bench.
Marquise Teague and the newly acquired Dequan Cook will be seen only sporadically.